What is Radii of Gyration? Application

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SUMMARY

The discussion focuses on the concept of Radii of Gyration, particularly in the context of a 50x100 tube subjected to wind pressure, as modeled in AutoCAD. It is established that a greater Radius of Gyration correlates with increased rigidity of a structural section. The comparison between a tube and a round rod with the same cross-sectional area illustrates that despite equal area, the tube exhibits superior stiffness due to its geometry, which positions more material farther from the centroid.

PREREQUISITES
  • Understanding of structural engineering principles
  • Familiarity with AutoCAD for modeling
  • Knowledge of material properties related to rigidity
  • Basic concepts of centroid and moment of inertia
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  • Research the mathematical formula for calculating Radius of Gyration
  • Explore AutoCAD techniques for modeling structural elements
  • Study the effects of wind pressure on different structural shapes
  • Learn about the relationship between moment of inertia and structural rigidity
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This discussion is beneficial for structural engineers, civil engineering students, and professionals involved in designing and analyzing structural components under load conditions.

nicolasmarie
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I am looking a definition and application of Radii of Gyration. I want to understand this concept by looking at a 50x100 Tube withstanding wind pressure as I have drawn using Autocad. So far I do know that the greater the Radii of Gyration, the greater the rigidity of the section i.e the greatest the distance away from the centroid the most rigid is the section.

Thanks in advance.
 

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Not really my field but wikipedea seems to cover it.

http://en.wikipedia.org/wiki/Radius_of_gyration

In short.. if you look at the cross section of a tube all the metal is a long way from the center of area (the middle). If you compare that with a round rod having the same same cross sectional area you see that all the metal is close to the center. So they have the same cross sectional area but different Radii of Gyration.

If you try and bend the rod and tube (using wind if you like) you find the tube is stiffer even though they have same cross sectional area of metal.
 

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